Previous Conferences & Workshops

Erdős-style geometry is concerned with combinatorial questions about simple geometric objects, such as counting incidences between finite sets of points, lines, etc. These questions can be typically viewed as asking for the possible number of...

Given $n\in\mathbb{N}$ and $\xi\in\mathbb{R}$, let $\tau(n;\xi)=\sum_{d|n}d^{i\xi}$. Hall and Tenenbaum asked in their book \textit{Divisors} what is the value of $\max_{\xi\in[1,2]} |\tau(n;\xi)|$ for a ``typical'' integer $n$. I will present work...

A predicate $P:\Sigma^k \to {0,1}$ is said to be linearly embeddable if the set of assignments satisfying it can be embedded in an Abelian group. 

In this talk, we will present this notion and mention problems it relates to from various areas...

The three problems referred to in the title originate in the theory of von Neumann algebras, C* algebras, and quantum information theory respectively. Each of them has been a deep long-standing open problem in its respective area. Surprisingly, the...

Aru Abstract: In the first story we wonder about the ubiquity of the free field and look at a few characterisation theorems. In the second story we discuss the mutually benefiting relationship between the discrete free field and the O(N) spin model...

Given an automorphic representation \pi of SO(n,n+1) with certain nice properties at infinity, one can nowadays attach to \pi a p-adic Galois representation R of dimension 2n. The Bloch--Kato conjectures then predict in particular that if the L...